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13430400134424 = 2337136149450611
BaseRepresentation
bin1100001101110000001000…
…1110101010110100011000
31202112221012200021201212220
43003130002032222310120
53230020424413300144
644321501325104040
72554212556363050
oct303340216526430
952487180251786
1013430400134424
114308889823029
12160aa999b8020
13765634549380
1434606b830560
1518454ed97919
hexc37023aad18

13430400134424 has 64 divisors (see below), whose sum is σ = 41324308112640. Its totient is φ = 3542083551360.

The previous prime is 13430400134419. The next prime is 13430400134509. The reversal of 13430400134424 is 42443100403431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3074723122 + ... + 3074727489.

It is an arithmetic number, because the mean of its divisors is an integer number (645692314260).

Almost surely, 213430400134424 is an apocalyptic number.

13430400134424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13430400134424 is an abundant number, since it is smaller than the sum of its proper divisors (27893907978216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13430400134424 is a wasteful number, since it uses less digits than its factorization.

13430400134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149450640 (or 6149450636 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 13430400134424 its reverse (42443100403431), we get a palindrome (55873500537855).

The spelling of 13430400134424 in words is "thirteen trillion, four hundred thirty billion, four hundred million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6149450611 12298901222 18448351833 24597802444 36896703666 43046154277 49195604888 73793407332 79942857943 86092308554 129138462831 147586814664 159885715886 172184617108 239828573829 258276925662 319771431772 344369234216 479657147658 516553851324 559600005601 639542863544 959314295316 1033107702648 1119200011202 1678800016803 1918628590632 2238400022404 3357600033606 4476800044808 6715200067212 13430400134424